otential Energy and Conservation of Fun with a spring Gun Fun with a Spring Gun

Question

otential Energy and Conservation of Fun with a spring Gun Fun with a Spring Gun A spring-loaded toy gun is used to shoot a ball of mass 1). m 1.50 kg straight up in the air, as shown in (Figure The spring has spring constant k 667 N/m. If the spring is compressed a distance of 25.0 centimeters from its equilibrium position y 0 and then released, the ball reaches a maximum height hmax (measured from the equilibrium position of the spring) There is no air resistance. and the ball never touches the inside of the gun. Assume that all movement occurs in a straight line up and down along the y axis. Figure 1 of 1

Explanation / Answer

A.
a)true
b)true
c)false, gravity is a conservative force

Es - PEb = KEb
½ky² - m*g*y= ½mv² or

v² = (k/m)*y² - 2*g*y = (667/1.5)0.25^2 - 2*9.8*0.25 = 22.89

B) Vm = v² = 4.78 m/s

C) Hmax = Vm²/(2g) = 1.168 m

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